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Finding the Fourth Proportional to 4,858, 6,704.96 and 3,091.66

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Solution

The fourth proportional to 4,858, 6,704.96 and 3,091.66 is: 4,267.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,858 : 6,704.96 = 3,091.66 : x
  2. Step 2: Convert to fraction form
    4,858/6,704.96 = 3,091.66/x
  3. Step 3: Cross multiply
    4,858x = 6,704.96 × 3,091.66
  4. Step 4: Simplify right side
    4,858x = 20,729,456.63
  5. Step 5: Solve for x
    x = 20,729,456.63/4,858
  6. Step 6: Final answer
    x = 4,267.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.